Details

analyze928.0ms (17%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample43.0ms (0.8%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
10.0ms	215×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	49	22
1	49	22

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

33.6b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

20.9b	(/.f64 (.f64 z z) (.f64 t t))
20.4b	(/.f64 (.f64 x x) (.f64 y y))
20.4b	(/.f64 (.f64 x x) (.f64 y y))
20.9b	(/.f64 (.f64 z z) (.f64 t t))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
8×	`prod-exp_binary64_17518` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `cbrt-unprod_binary64_17502`
2×	`associate-/l_binary64_17414` `associate-/r_binary64_17413` `*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504` `frac-2neg_binary64_17480` `clear-num_binary64_17468` `add-sqr-sqrt_binary64_17491` `times-frac_binary64_17475` `add-log-exp_binary64_17508` `pow1_binary64_17530` `div-inv_binary64_17466`

Counts

2 → 42

Calls

4 calls:

6.0ms	(/.f64 (.f64 z z) (.f64 t t))
6.0ms	(/.f64 (.f64 x x) (.f64 y y))
0.0ms	(/.f64 (.f64 x x) (.f64 y y))
0.0ms	(/.f64 (.f64 z z) (.f64 t t))

series168.0ms (3.1%)

Counts

2 → 12

Calls

2 calls:

84.0ms	(/.f64 (.f64 z z) (.f64 t t))
84.0ms	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 360 to 312 computations (13.3% saved)

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5115	506

prune83.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	44	10	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	10	55

Error

3.3b

Counts

55 → 10

Compiler

Compiled 1035 to 282 computations (72.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

20.4b	(/.f64 (.f64 x x) (.f64 y y))
0.2b	(*.f64 (/.f64 z t) (/.f64 z t))
0.2b	(*.f64 (/.f64 z t) (/.f64 z t))
20.4b	(/.f64 (.f64 x x) (.f64 y y))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_17491`
41×	`times-frac_binary64_17475`
30×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504`
26×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
13×	`associate-l_binary64_17410` `associate-r_binary64_17409` `swap-sqr_binary64_17436`
9×	`pow1_binary64_17530`
8×	`prod-exp_binary64_17518` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `cbrt-unprod_binary64_17502`
5×	`div-inv_binary64_17466`
4×	`unswap-sqr_binary64_17437`
2×	`add-log-exp_binary64_17508`
1×	`associate-/l_binary64_17414` `associate-/r_binary64_17413` `-commutative_binary64_17400` `pow-plus_binary64_17532` `pow-prod-up_binary64_17539` `associate-r/_binary64_17411` `frac-2neg_binary64_17480` `pow-sqr_binary64_17442` `frac-times_binary64_17479` `clear-num_binary64_17468` `pow2_binary64_17550` `associate-*l/_binary64_17412` `pow-prod-down_binary64_17540`

Counts

2 → 88

Calls

4 calls:

11.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
7.0ms	(/.f64 (.f64 x x) (.f64 y y))
0.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
0.0ms	(/.f64 (.f64 x x) (.f64 y y))

series171.0ms (3.1%)

Counts

2 → 12

Calls

2 calls:

86.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
85.0ms	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 360 to 300 computations (16.7% saved)

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4975	977
1	4975	977

prune99.0ms (1.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	92	8	100
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	98	12	110

Error

0.1b

Counts

110 → 12

Compiler

Compiled 1961 to 534 computations (72.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 x y) (/.f64 x y))
0.2b	(*.f64 (/.f64 z t) (/.f64 z t))
0.2b	(*.f64 (/.f64 z t) (/.f64 z t))
0.3b	(*.f64 (/.f64 x y) (/.f64 x y))

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`add-sqr-sqrt_binary64_17491`
80×	`times-frac_binary64_17475`
58×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504`
26×	`associate-l_binary64_17410` `add-exp-log_binary64_17507` `associate-r_binary64_17409` `swap-sqr_binary64_17436` `add-cbrt-cube_binary64_17505`
16×	`pow1_binary64_17530`
8×	`prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `cbrt-unprod_binary64_17502` `div-inv_binary64_17466`
2×	`-commutative_binary64_17400` `pow-plus_binary64_17532` `pow-prod-up_binary64_17539` `associate-r/_binary64_17411` `pow-sqr_binary64_17442` `frac-times_binary64_17479` `pow2_binary64_17550` `associate-*l/_binary64_17412` `pow-prod-down_binary64_17540` `add-log-exp_binary64_17508`

Counts

2 → 134

Calls

4 calls:

12.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
11.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
0.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
0.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

series168.0ms (3.1%)

Counts

2 → 12

Calls

2 calls:

87.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
81.0ms	(*.f64 (/.f64 z t) (/.f64 z t))

Compiler

Compiled 360 to 288 computations (20% saved)

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5060	1638

prune147.0ms (2.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	135	11	146
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	139	19	158

Error

0.0b

Counts

158 → 19

Compiler

Compiled 3099 to 840 computations (72.9% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 (/.f64 x y) (cbrt.f64 x))
0.2b	(*.f64 (/.f64 z t) (/.f64 z t))
0.2b	(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y)
0.2b	(.f64 (.f64 (/.f64 x y) (cbrt.f64 x)) (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y))
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_17500`
23×	`add-sqr-sqrt_binary64_17491`
15×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504`
11×	`pow1_binary64_17530`
9×	`pow1/3_binary64_17551`
6×	`associate-l_binary64_17410` `add-exp-log_binary64_17507` `associate-r_binary64_17409` `swap-sqr_binary64_17436`
4×	`unswap-sqr_binary64_17437` `add-log-exp_binary64_17508` `add-cbrt-cube_binary64_17505`
2×	`pow-prod-up_binary64_17539` `pow-sqr_binary64_17442` `pow-prod-down_binary64_17540`
1×	`*-commutative_binary64_17400` `pow-plus_binary64_17532` `prod-exp_binary64_17518` `pow2_binary64_17550` `cbrt-unprod_binary64_17502`

Counts

4 → 73

Calls

8 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
0.0ms	(.f64 (.f64 (/.f64 x y) (cbrt.f64 x)) (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) y))

series314.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
79.0ms	(cbrt.f64 x)
79.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 x)

Compiler

Compiled 586 to 406 computations (30.7% saved)

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune69.0ms (1.3%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	85	19	104

Error

0.0b

Counts

104 → 19

Compiler

Compiled 2083 to 431 computations (79.3% saved)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	247	1282
1	247	1282

regimes857.0ms (15.7%)

Compiler: Compiled 10571 to 7388 computations (30.1% saved)

bsearch0.0ms (0%)

regimes77.0ms (1.4%)

Compiler: Compiled 184 to 284 computations (-54.3% saved)

bsearch0.0ms (0%)

regimes35.0ms (0.6%)

Accuracy

Total 0.4b remaining (91%)

Threshold costs 0.4b (91%)

Compiler

Compiled 20 to 92 computations (-360% saved)

bsearch2.0ms (0%)

Compiler: Compiled 32 to 30 computations (6.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	46
1	22	46

end0.0ms (0%)

sample1.8s (32.1%)

Algorithm

1×

intervals

Results

388.0ms	8000×	body	128	valid
269.0ms	5767×	body	128	invalid

Compiler

Compiled 866 to 605 computations (30.1% saved)

Pareto

0.0

Details

analyze928.0ms (17%)

sample43.0ms (0.8%)

simplify98.0ms (1.8%)

prune3.0ms (0.1%)

localize13.0ms (0.2%)

rewrite16.0ms (0.3%)

series168.0ms (3.1%)

simplify53.0ms (1%)

prune83.0ms (1.5%)

localize9.0ms (0.2%)

rewrite29.0ms (0.5%)

series171.0ms (3.1%)

simplify66.0ms (1.2%)

prune99.0ms (1.8%)

localize8.0ms (0.1%)

rewrite37.0ms (0.7%)

series168.0ms (3.1%)

simplify85.0ms (1.6%)

prune147.0ms (2.7%)

localize13.0ms (0.2%)

rewrite17.0ms (0.3%)

series314.0ms (5.8%)

simplify79.0ms (1.4%)

prune69.0ms (1.3%)

simplify20.0ms (0.4%)

regimes857.0ms (15.7%)

bsearch0.0ms (0%)

regimes77.0ms (1.4%)

bsearch0.0ms (0%)

regimes35.0ms (0.6%)

bsearch2.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (32.1%)

Profiling